I purchased global unity as advent loyalist. It's the tech that lets your planets product culture without culture buildings.
Later, one of my harmony (civic) labs was destroyed, so I didn't have the 5 stations needed to maintain the global unity ability.* When I rebuilt the stations the global unity ability did not return. There was no way I could recover that ability at that point.
* - Also, I don't understand which abilities continue without the required research station count. Some very prominent abilities like being able to jump a starbase persist even if all your research stations are destroyed. Yet a subtle ability like global unity ceases to function once you drop below 5 research stations?